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What operation does the resolution rule perform on two pr... | QuestionStock

Representative image for question: What operation does the resolution rule perform on two propositional clauses?

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Logic

What operation does the resolution rule perform on two propositional clauses?

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What operation does the resolution rule perform on two propositional clauses?

Options:

It conjoins the two clauses into a larger clause without change.
It derives a resolvent by eliminating a complementary pair of literals between the two clauses.
It replaces each clause by an equivalent disjunction of literals.
It converts clauses into implication form for natural deduction.

Correct answer: It derives a resolvent by eliminating a complementary pair of literals between the two clauses.

Explanation: Resolution, introduced by J. A. Robinson in 1965, produces a resolvent by resolving on a pair of complementary literals from two clauses, eliminating that literal and joining the remainders.

Created 2026-03-10T18:49:48.808Z. Updated 2026-03-10T18:49:48.808Z.